Finding the Third Proportional to 175,762.50 and 376,437

Step by Step Solution

1. Step 1: Write the proportion equation
   175,762.50 : 376,437 = 376,437 : x
2. Step 2: Convert to fraction form
   175,762.50/376,437 = 376,437/x
3. Step 3: Cross multiply
   175,762.50x = 376,437 × 376,437
4. Step 4: Simplify right side
   175,762.50x = 141,704,814,969
5. Step 5: Solve for x
   x = 141,704,814,969/175,762.50
6. Step 6: Final answer
   x = 806,228.95